Finding the Third Proportional to 189,337.50 and 405,270

Step by Step Solution

1. Step 1: Write the proportion equation
   189,337.50 : 405,270 = 405,270 : x
2. Step 2: Convert to fraction form
   189,337.50/405,270 = 405,270/x
3. Step 3: Cross multiply
   189,337.50x = 405,270 × 405,270
4. Step 4: Simplify right side
   189,337.50x = 164,243,772,900
5. Step 5: Solve for x
   x = 164,243,772,900/189,337.50
6. Step 6: Final answer
   x = 867,465.63